Everyday contexts, mini-stories and word problems that make the 0 times table useful.
Quick answer
Any number multiplied by zero equals zero. This is because zero groups of anything still makes nothing.
Learning outcome
By the end of this page, you will understand that multiplying any number by zero always gives zero, and you will be able to use this rule in real-life situations.
Why this matters
Knowing that any number multiplied by zero equals zero is important because it helps you solve problems quickly and makes you more confident with maths. It's also useful in games, cooking, sports, and everyday life when you need to think about nothing or no groups.
How it works
Multiplying by zero is like making zero groups of something. No matter how big each group is, if you have zero groups, you still have nothing. Let's explore this step by step.
First, think of groups of objects. If you have 3 groups of 5 apples, that's 3 × 5 = 15 apples. But if you have 0 groups of 5 apples, that's 0 × 5 = 0 apples.
Second, imagine if you had 5 bags, and each bag had 0 cookies. That's 5 × 0 = 0 cookies.
Third, even if you had 0 bags with 10 cookies in each, that's still 0 × 10 = 0 cookies.
In all cases, when you multiply by zero, the answer is zero.
Examples you can see
Let's look at some examples that show how zero times any number equals zero.
Number × 0
What it means
Answer
0 × 1
No groups of 1
0
0 × 2
No groups of 2
0
0 × 3
No groups of 3
0
0 × 4
No groups of 4
0
0 × 5
No groups of 5
0
0 × 6
No groups of 6
0
0 × 7
No groups of 7
0
0 × 8
No groups of 8
0
0 × 9
No groups of 9
0
0 × 10
No groups of 10
0
0 × 11
No groups of 11
0
0 × 12
No groups of 12
0
Let's use a fun example. Imagine you are at a party and there are 0 cakes. If you have 5 friends and each friend gets 0 cakes, how many cakes do you have in total? That's 5 × 0 = 0 cakes. You have no cakes because there were no cakes to start with.
Another example is if you are collecting stickers and you have 0 sticker books. If each book can hold 10 stickers, how many stickers can you fit? That's 0 × 10 = 0 stickers. You can't fit any stickers because you have no books.
Try it as a mini adventure
Let's go on a fun adventure to understand the 0 times table!
Adventure: The Magic Zero Island
You are on a magical island where everything changes when you meet the Zero Wizard. The wizard has a special bag that can make anything disappear.
1st time: You have 5 toy cars. The wizard says, "Multiply your cars by zero." You see 5 × 0 = 0 cars. All your cars disappeared!
2nd time: You have 0 toy trains. The wizard says, "Multiply your trains by 0." You see 0 × 0 = 0 trains. You still have no trains.
3rd time: You have 12 pencils. The wizard says, "Multiply your pencils by zero." You see 12 × 0 = 0 pencils. All your pencils disappeared!
4th time: You have 0 balloons. The wizard says, "Multiply your balloons by 7." You see 0 × 7 = 0 balloons. Still no balloons.
5th time: You have 100 blocks. The wizard says, "Multiply your blocks by 0." You see 100 × 0 = 0 blocks. Everything vanished!
Every time you multiply by zero, everything disappears. That's why the answer is always zero.
Common mistakes
Here are some mistakes people sometimes make with the 0 times table:
Mistake 1: Thinking that 0 × 5 = 5 or 0 × 10 = 10
Why it happens: This is a common mistake because it mixes up the idea of zero with the idea of the number itself.
How to fix it: Remember that multiplying by zero means no groups, so you have nothing. So 0 × 5 = 0 because there are zero groups of 5.
Mistake 2: Thinking that 0 × 0 = 0 because zero times zero is confusing.
Why it happens: The idea of zero times zero seems strange because it's hard to imagine.
How to fix it: Think of it as zero groups of zero things. Even if each group is zero, there are still no groups, so it's still zero.
Mistake 3: Thinking that 0 × 3 = 3 because of the idea of "nothing times something" being something.
Why it happens: This is about confusing the meaning of zero in multiplication.
How to fix it: Remember that zero means "no groups", so even if each group is 3, if there are no groups, you still have zero.
Parent and carer guide
As a parent or carer, you can help your child understand the 0 times table by:
1. Using real-life examples like "If you have 0 bags of 5 apples, how many apples do you have?" This helps children see that no groups means no total.
2. Drawing pictures or using physical objects like counters, blocks, or toys to show that zero groups of anything is zero.
3. Playing games where you say "What is 0 times 7?" and your child says "Zero!" This helps build quick recall.
4. Reassuring your child that it's okay to get confused sometimes. The 0 times table can be tricky, but it's a simple rule once you get used to it.
5. Not making a big deal out of mistakes. Instead, help your child understand why the answer is zero by asking questions like "What does 'zero groups' mean?"
6. Practicing with different numbers to build confidence. For example, 0 × 2, 0 × 4, 0 × 10, etc.
7. Encouraging your child to explain their thinking. If they say "0 × 5 = 5", ask them to explain why they think that.
Practice questions
Try these questions to test your knowledge of the 0 times table.
1. What is 0 × 3?
2. What is 0 × 8?
3. What is 7 × 0?
4. What is 11 × 0?
5. What is 0 × 0?
6. What is 12 × 0?
7. What is 0 × 1?
8. What is 9 × 0?
9. What is 0 × 6?
10. What is 4 × 0?
Answers:
1. 0
2. 0
3. 0
4. 0
5. 0
6. 0
7. 0
8. 0
9. 0
10. 0
FAQ
Q: Why does 0 times anything equal 0?
A: Because zero means "no groups", so no matter how many things are in each group, if there are no groups, you have nothing.
Q: Is 0 × 0 = 0?
A: Yes! Zero groups of zero things is still zero.
Q: Can I use the 0 times table in real life?
A: Yes! For example, if you have 0 bags with 5 toys in each, you have 0 toys total.
Q: What if I forget the 0 times table?
A: Remember that zero means "nothing", so anything times zero is nothing.
Q: Is the 0 times table the same as 0 divided by anything?
A: No, that's a different rule. Zero divided by any number (except zero) is zero, but division is different from multiplication.
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